Fractional calculus has received an increasing interest since its applications involve various fields including physics, chemistry, engineering; see [1]}, [2]}, [3]}, [4]}. The Riesz fractional derivative, which derives from the kinetic of chaotic dynamics [5]}, is generalized as one of the most popular fractional calculus. Recently, the study of the Riesz fractional derivative has been urgent and significant as it can be applied to lattice model with long-range interactions [6]}, nonlocal dynamics [7]}, and so on.
